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Hi! Our program is Mathematics and we are having a thesis. As of now, we are interested in Graph Theory, specifically in edge deletions. Do you guys have any recommendations where we can use edge deletion to have an interesting results for our thesis? Thanks a lot!
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There is one theorem about  deleting two edges needing two less colors  or something like that. Seemed quite easy to proof but probably isn't, I'll look if you can't find it yourself
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Use deletion-contraction to find the chromatic polynomial for some families of graphs maybe?
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